Show that the reciprocal identity is satisfied by (z/x) y and (x/z) y if z = sin

Question:

Show that the reciprocal identity is satisfied by (∂z/∂x)_y and (∂x/∂z)_y if

z = sin and x = y sin (z) = y arcsin (z).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Mathematics for Physical Chemistry

ISBN: 978-0124158092

4th Edition

Authors: Robert G. Mortimer

See More Books

Question Posted: Dec 28, 2018 08:00 AM

See More Questions

Show that Where C is the positively oriented boundary of the rectangle whose sides lie along the lines x = ±2, y = 0, and y = 1. Suggestion: By observing that the four zeros of the polynomial...
Show that Use the identity (.-T-H- -1 j-1 - . +b
Show that the identity function IX (example 2.5) is strictly increasing.
In which control account would you expect to find a provision for doubtful debts?
Tilger Farm Supply Company manufactures and sells a fertilizer called Snare. The following data are available for preparing budgets for Snare for the first two quarters of 2012. 1. Sales: Quarter 1,...
1. Airlines in the United States were heavily regulated by the Civil Aeronautics Board until the late 1970s and early 1980s at which time the industry was released to competition. From time to time...
Using the results from Problem 10.10, derive the equations for both parts of the off-axis complex modulus, $E_{x}^{*}=E_{x}^{\prime}\left(1+i \eta_{x} ight)$, for an arbitrary angle $\theta$;...
Paulines Pottery has always used the direct write-off method to account for uncollectibles. The companys revenues, bad-debt write offs, and year-end receivables for the most recent year follow: The...
You are a recent hire at a company. Your manager explains that the company has not used budgets previously. She asks you to explain how budgets can be useful to a manufacturing firm. Create a...
Conifer Corp is a sawmill operation in Oregon, that is owned by a major forest products company, but operates independently of headquarters. The mill is divided into six operating departments: boom,...
Find (f/x) y , and (f/y) x for each of the following functions, where a, b, and c are constants. (a) f = axy ln (y), (b) f = c sin(x 2 y).
Find (f/x) y , and (f/y) x for each of the following functions, where a, b, and c are constants. (a) f = (x + y)/(c + x), (b) f = (ax + by) 2 .
The president usually announces major policy initiatives in the State of the Union Address in January. Those initiatives are often not formulated with all the details worked out. In fact, the...
1. Provide a brief description of your implicit theory of leadership, i.e., your beliefs about the characteristics and behaviors of effective leaders. Does this description seem to agree with or be...
Suppose you read in The Wall Street Journal that a $1,000 par value, 8 year, 6%, semi-annual bond is trading at $984. If your required rate of return is 6%, what would be the bond's current yield?...
John Kotter describes "What leaders really do." Peter Drucker describes "What makes an Effective Executive." What are the similarities, if any, between the two theories? What are the differences, if...
Calculate the centripetal force on the end of a 96-m (radius) wind turbine blade that is rotating at 0.5 rev/s. Assume the mass is 3 kg. Fe=|| N Enter an integer or decimal number [more..]
BUSY Co. plans to sell a 180 day commercial paper amounting to Php 100,000,000 which it expects to pay a discounted interest of 12% per annum. BUSY expects to incur Php 100,000 in dealer placement...
If two bonds are identical in all respects, except one bond compounds annually and the other semiannually, which bond has the higher price? Why?
Define a traverse in Surveying?
What is z .90 ? The study is expanded to include 50 medical interns, of whom 11 report having had an automobile accident over the past year. One issue in the above study is that not all people report...
If 20 women are randomly chosen from the study, what is the probability that exactly 2 will have a low birth-weight delivery (defined as < 2500 g)? Obstetrics A study was performed of different...
What is the probability that at least 2 women will have a low birth-weight delivery? Obstetrics A study was performed of different predictors of low birth-weight deliveries among 32,520 women in the...
Mary was so excited about the holiday shopping season that she could hardly wait for the Black Friday sales. She got up early and spent all day at her favorite store, Mega Deals, shopping. Mary was...
This can be done as a group or individually. If done in a group, all group members must submit a copy of this assignment to receive a grade. If you were to open a business, what type of business...
6.(5pts) A total charge Q is distributed uniformly over a ring of radius R. We found an expression for the value of the electric field on the axis of the ring, E(x), a distance x from the center of...

Show that the reciprocal identity is satisfied by (z/x) y and (x/z) y if z = sin

Question:

z = sin and x = y sin (z) = y arcsin (z).

Step by Step Answer:

From the table of derivat...View the full answer

Mathematics for Physical Chemistry

Students also viewed these Mathematics questions